3 papers
math.GR2025
Higman-Thompson groups and profinite properties of right-angled Coxeter groups
Samuel M. Corson, Sam Hughes, Philip Möller +1
We prove that every right-angled Coxeter group (RACG) is profinitely rigid amongst all Coxeter groups. On the other hand we exhibit RACGs which have infinite profinite genus amongs…
math.GR2025
Profinite properties of Coxeter groups
Sam Hughes, Philip Möller, Philip Möller +1
We prove a number of results about profinite completions of Coxeter groups. For example we prove Coxeter groups are good in the sense of Serre and that various splittings of Coxete…
math.GR2024
Profinite rigidity of affine Coxeter groups
Samuel M. Corson, Sam Hughes, Philip Möller +1
We prove that affine Coxeter groups are profinitely rigid.